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Finding the Fourth Proportional to 281,051.86, 387,857.72 and 153,727.45

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Solution

The fourth proportional to 281,051.86, 387,857.72 and 153,727.45 is: 212,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,051.86 : 387,857.72 = 153,727.45 : x
  2. Step 2: Convert to fraction form
    281,051.86/387,857.72 = 153,727.45/x
  3. Step 3: Cross multiply
    281,051.86x = 387,857.72 × 153,727.45
  4. Step 4: Simplify right side
    281,051.86x = 59,624,378,990.07
  5. Step 5: Solve for x
    x = 59,624,378,990.07/281,051.86
  6. Step 6: Final answer
    x = 212,147.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.